In the following exercise, solve the following equations with variables and constants on both sides.

13z+6.45=8z+23.75

Short Answer

Expert verified

The solution for the given equation isz=3.46

Step by step solution

01

Step 1. Given information

The given equation is13z+6.45=8z+23.75

We have to solve the given equation.

02

Step 2. Explanation

13z+6.45=8z+23.7513z-8z+6.45=8z-8z+23.75(Subtract8zfromboththesides)5z+6.45=23.75(Simplify)5z+6.45-6.45=23.756.45(Subtract6.45fromboththesides)5z=17.3(Simplify)5z5=17.35(Dividebothsidesby5)z=3.46(Simplify)Thesolutionisz=3.46

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